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Finding the Fourth Proportional to 33,861, 46,727.43 and 18,752.78

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Solution

The fourth proportional to 33,861, 46,727.43 and 18,752.78 is: 25,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,861 : 46,727.43 = 18,752.78 : x
  2. Step 2: Convert to fraction form
    33,861/46,727.43 = 18,752.78/x
  3. Step 3: Cross multiply
    33,861x = 46,727.43 × 18,752.78
  4. Step 4: Simplify right side
    33,861x = 876,268,981.12
  5. Step 5: Solve for x
    x = 876,268,981.12/33,861
  6. Step 6: Final answer
    x = 25,878.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.